The symmetric signature of cyclic quotient singularities

DOI10.1216/JCA-2019-11-2-163zbMath1425.13002arXiv1603.06427WikidataQ127618375 ScholiaQ127618375MaRDI QIDQ2002588

Alessio Caminata, Lukas Katthän

Publication date: 12 July 2019

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06427

zbMATH Keywords

quotient singularitytoric ring\(F\)-signatureAuslander correspondence

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Actions of groups on commutative rings; invariant theory (13A50) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (1)

Differential symmetric signature in high dimension

Cites Work

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• Generalized \(F\)-signature of invariant subrings
• \(F\)-signature exists
• Certain invariant subrings are Gorenstein. II
• Rings mit only finitely many isomorphism classes of maximal indecomposable Cohen-Macaulay modules
• Minimal relative Hilbert-Kunz multiplicity
• Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
• Certain invariant subrings are Gorenstein. I
• Two theorems about maximal Cohen-Macaulay modules
• Maximal Cohen-Macaulay modules over surface singularities
• Polytopes, Rings, and K-Theory
• The symmetric signature

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